Dakota Mixes two cereals for breakfast. one gram of cereal A has 6 grams of sodium and 7 calories. one gram of cereal B has 8 milligrams of sodium and 5 calories. She want a bowl of cereal that contains no more than 200 milligrams of sodium and 150 calories. let A equal number of grams of cereal of A and B equal the number of grams of cereal B where A>0 and B>0 which system of inequality represent the possible way Dakota can mix the cereal ?

Let's assume

x be the number of loads by land carriers

y be the number of loads by air carriers

so, maximum number of loads can be 150

total number of loads =(the number of loads by land carriers)+(the number of loads by air carriers)

so, we get

[tex]x+y\leq 150[/tex]

the mail is sent via ground in air each land carrier takes 2000 pieces per load

so, total number of pieces by land =2000x

each air carrier takes 1500 pieces per load the

so, total number of pieces by air =1500y

total number of pieces = (total number of pieces by land)+(total number of pieces by air)

now, we can plug values

total number of pieces =2000x+1500y

A mail distribution center processes as many as 175000 pieces of mail each day

so, we get

[tex]2000x+1500y\leq 175000[/tex]

so, we get system of inequality as

[tex]x+y\leq 150[/tex]

[tex]2000x+1500y\leq 175000[/tex]................Answer

Answer & Explanation:

A compound inequality contains at least two inequalities that are separated by either "and" or "or". The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities.To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.

Y is less than or equal to 65 and X + y= less than or equal to 95